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Finding the Fourth Proportional to 189,042.80, 283,569.66 and 70,691.54

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Solution

The fourth proportional to 189,042.80, 283,569.66 and 70,691.54 is: 106,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042.80 : 283,569.66 = 70,691.54 : x
  2. Step 2: Convert to fraction form
    189,042.80/283,569.66 = 70,691.54/x
  3. Step 3: Cross multiply
    189,042.80x = 283,569.66 × 70,691.54
  4. Step 4: Simplify right side
    189,042.80x = 20,045,974,544.83
  5. Step 5: Solve for x
    x = 20,045,974,544.83/189,042.80
  6. Step 6: Final answer
    x = 106,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.